Solving Percentage Problems

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Calculate Percentage Loss when the Cost Price & Selling Price are Given.

The Selling Price is labelled in red while the Cost price is labelled in blue.

  • To find the percentage loss when the SP is $520 and the CP is $800, pull the “Selling price” slider to the right (Loss). Note how this value is calculated.
  • Check the “Calculation” box to see the next step to follow.
  • Find your answer before checking the box to confirm.
  • Click to reset.
  • To continue practicing, drag the red part. If you make it longer than the blue part, you can calculate percentage gain(profit). The application will be the same.

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Calculate the Selling Price when the Cost price and Percentage Loss are given.

  • To find the SP when the CP is $800 and the percentage loss is 35, again pull the “Selling price” slider to the right (Loss) to see what part of the Tape diagram you are looking for.
  • Check the “Calculation” box to see the next step to follow.
  • Attempt finding the answer before checking the box to confirm.
  • Click to reset.
  • To continue practicing, drag the red part. If you make it longer than the blue part, you can calculate Profit. The application will be the same.

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Calculate the Cost Price when the Selling Price and Percentage Loss are given.

  • Check the “Cost” box.
  • To find the SP when the CP is $520 and the percentage loss is 35, pull the “selling price” slider to the right (Loss) to see on the Tape diagram the amount representing 35%. Note how it is calculated.
  • Check the “Calculation” box to see the next step to follow.​
  • Attempt the question before checking the box to confirm your answer.​
  • Click to reset.​
  • To continue practicing, drag the red part. If you make it longer than the blue part, you can calculate percentage gain(profit). The application will be the same.​

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For each problem, explain or show your reasoning.

(1). 160 is what percentage of 40?

(2). 40 is 160% of what number?

(3). What number is 40% of 160?

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An ant travels at a constant rate of 30 cm every 2 minutes.

(1). At what pace does the ant travel per centimeter?

(2). At what speed does the ant travel per minute?

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Select all the expressions whose value is larger than 100.